Question

Solve the equation. If necessary, round your answer to the nearest tenth.

x2 = 196

A.
14

B.
–14, 14

C.
98

D.
–98, 98

Answer 1

Any ideas on where to start?

Answer 2

well, i know i cant divide 162 by 2 cus that wouldnt give me the right answer uhm... should i multiply 14 by 14 to see what i get?

Answer 3

whoops i mean 196 lol

Answer 4

Hmm not quite :
\[\huge~\rm~\bf~x^{2}=196\]
Keep in mind there is a square (^2)
how would we get rid of "x^2"

Answer 5

uhm i dont know....

Answer 6

but i do know 14*14 is 196 and -14*-14 also is 196

Answer 7

You answers are somewhat correct, to solve this we would square root both sides
\[\huge~\rm~\bf~x^{2}=196\]
\[\huge~\rm~\bf \sqrt{x^2}=\sqrt{196}\]
you get 14 but you see,
14^2=196
-14^2=196 cuz -14 x -14=196

Answer 8

\[4x^{2}=121\]

Answer 9

what do we do first?

Answer 10

divide 4 by both sides?

Answer 11

perfect
121/4=?

Answer 12

121/4=30.25

Answer 13

in this case since it's a decimal let's leave it as a fraction
now we have
\[\huge~\rm~\bf~\sqrt{x^2}=\sqrt{\frac{ 121 }{ 4}}\]
solve

Answer 14

60.5? i think...

Answer 15

oh wait lol no its \[\frac{ 11 }{ 2}\]

Answer 16

Good turn that fraction into a decimal what do we get?

Answer 17

5.5?

Answer 18

perfect but what other answer could it be?

Answer 19

.18 repeating?

Answer 20

nope it's 5.5 but what's the opposite of 5.5 (look at the previous problem)
I said:
you get 14 but you see,
14^2=196
-14^2=196 cuz -14 x -14=196

So what would our answers be here?

Answer 21

-5.5

Answer 22

and?

Answer 23

5.5

Answer 24

perfect :-)

Answer 25

another?

Answer 26

new post :P